A disk with an elevated hinged arm is rotating about the vertical z-axis. The arm has a sphere that slides along it. What is the magnitude of the acceleration of the sphere at the given time?
The disk A rotates about the vertical z-axis with a constant speed omega = dot theta = pi / 3 rad/s. Simultaneously, the hinged arm OB is elevated at the constant rate dot phi = 2pi / 3 rad/s. At time t = 0 both theta = 0 and phi = 0 The angle theta is measured from the fixed reference x-axis. The small sphere P slides out along the rod according to R = 50 + 200t2 where R is in millimeters and t is in seconds. Determine the magnitude of the total acceleration a of P when t = 1/2s.
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A disk with an elevated hinged arm is rotating about the vertical z-axis. The arm has a sphere that slides along it. What is the magnitude of the acceleration of the sphere at the given time?
1) What is the magnitude of the torque on the disk about the z axis due...
1)
What is the magnitude of the torque on the disk about the z axis
due to F1?
N-m
2)
What is the magnitude of the torque on the disk about the z axis
due to F2?
N-m
3)
What is the magnitude of the torque on the disk about the z axis
due to F3?
N-m
4)
What is the x-component of the net torque about the z axis on
the disk?
N-m
5)
What is the y-component of...
(a) What is the magnitude of the torque on the disk (about the z axis)...
(a) What is the magnitude of the torque on the disk (about the z
axis) due to F1? (1pt)
(b) What is the magnitude of the torque on the disk due to F2?
(1pt)
(c) What is the magnitude of the torque on the disk due to F3?
(1pt)
(d) What is the magnitude and direction (clockwise or
counterclockwise) of the angular ac- celeration about the z-axis of
the disk? (2pt)
(e) If the disk starts from rest, what...
A wheel 2.50 m in diameter lies in a vertical plane and rotates about its central axis with a constant angular acceleration of 3.55 rad/s2
A wheel 2.50 m in diameter lies in a vertical plane and rotates about its central axis with a constant angular acceleration of 3.55 rad/s2. The wheel starts at rest at t = 0, and the radius vector of a certain point P on the rim makes an angle of 57.3° with the horizontal at this time. At t = 2.00 s, find the following. (a) the angular speed of the wheel 7.1 rad/s (b) the tangential speed of the point P (c)...
1 Moment of inertia of a solid uniform sphere around its axis of symmetry a) What...
1 Moment of inertia of a solid uniform sphere around its axis of symmetry a) What is the volume element dV of a sphere? b) Assume a constant density p MIV, calculate the moment of inertia, remember that r is measured from the rotation axis for each volume element Use the volume of a sphere to get a solution that only depends on the mass M and radius R of the sphere. c) 2) Spinning DVD On a DVD, data...
1)
What is the magnitude of the torque on the disk about the z axis
due to F1?
N-m
2)
What is the magnitude of the torque on the disk about the z axis
due to F2?
N-m
3)
What is the magnitude of the torque on the disk about the z axis
due to F3?
N-m
4)
What is the x-component of the net torque about the z axis on
the disk?
N-m
5)
What is the y-component of...
(a) What is the magnitude of the torque on the disk (about the z
axis) due to F1? (1pt)
(b) What is the magnitude of the torque on the disk due to F2?
(1pt)
(c) What is the magnitude of the torque on the disk due to F3?
(1pt)
(d) What is the magnitude and direction (clockwise or
counterclockwise) of the angular ac- celeration about the z-axis of
the disk? (2pt)
(e) If the disk starts from rest, what...
1 Moment of inertia of a solid uniform sphere around its axis of symmetry a) What is the volume element dV of a sphere? b) Assume a constant density p MIV, calculate the moment of inertia, remember that r is measured from the rotation axis for each volume element Use the volume of a sphere to get a solution that only depends on the mass M and radius R of the sphere. c) 2) Spinning DVD On a DVD, data...
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